# On the commutator subgroup of a right-angled Artin group

## TL;DR

This paper investigates the structure of the commutator subgroup in right-angled Artin groups using polyhedral models, providing a minimal generating set of special iterated commutators.

## Contribution

It introduces a minimal generating set for the commutator subgroup of right-angled Artin groups using polyhedral product models, advancing understanding of their algebraic structure.

## Key findings

- Identified a minimal set of generators for the commutator subgroup.
- Used polyhedral product models to analyze subgroup structure.
- Provided explicit descriptions of generators as iterated commutators.

## Abstract

We use polyhedral product models to analyse the structure of the commutator subgroup of a right-angled Artin group. In particular, we provide a minimal set of generators for the commutator subgroup, consisting of special iterated commutators of canonical generators.